## Solve This: Math Activities for Students and ClubsSophisticated mathematics is accessible to all. This book proves it! This is a collection of intriguing mathematical problems and activities linked by common themes that all involve working with objects from our everyday experience. Learn about the mathematics of a bagel, a checkerboard and a pile of laundry for example. Discover for yourself that wheels need not be round, that braids need not have free ends, that it's always best to turn around twice - and more! Mathematics is all around us, we all do mathematics every day. The activities contained in this book are immediate, catchy and fun, but upon investigation, begin to unfold into surprising layers of depth and new perspectives. The necessary mathematics, in increasing levels of difficulty, is explained fully along the way. Mathematics educators will find this an invaluable resource of fresh and innovative approaches to topics in mathematics. |

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### Contents

Distribution Dilemmas | 3 |

Dicing Slicing and Avoiding the Bad Bits | 9 |

Things that Wont Fall Down | 15 |

The Infamous Bicycle Problem | 21 |

Dont Turn Around Just Once | 27 |

Capturing Chaos | 33 |

Laundry Math | 39 |

Tiling and Walking | 45 |

Playing with Playing Cards | 57 |

Weird Lotteries | 65 |

Flipped Out | 67 |

Problems in Parity | 73 |

Hints Some Solutions and Further Thoughts | 81 |

Solutions and Discussions | 107 |

209 | |

Bubble Trouble | 51 |

### Common terms and phrases

Acknowledgments and Further anchovies angle bagel bicycle black cells Borda count Borsuk-Ulam theorem cake candy cards Challenge chessboard chord circle coins color configuration count the number crossing points cube cups curve deck diagram dice donut envy-free equation eversion example Fibonacci four Further Reading half twists induction Klein bottle labelled length loop maneuver Martin Gardner math mathematics maximal number minimal Mobius band move mutual non-attack number of black number of edges number of heads number of steps odd number path penny pepperoni Perfect Shuffling pile pirates plane player position possible problem proof puzzle real projective plane rectangle regions rooks rotate scheme segments skew tetrominoes slice solution sphere Steiner points string Suppose Taking It Further Theorem tilable tion tofu Tootsie Rolls toroidal torus total number triangle trick turn unit fraction vertex vertices vote Walking wheel white cells winner